2.16. The opening backlog is 1100 units. Forecast demand is as shown here. Calculate the weekly production for level production if the backlog is to be increased to 1200 units.

Problem 2.18

2.18. For the following data, calculate the number of workers required for level production and the resulting month-end inventories. Each worker can produce 9 units per day, and the desired ending inventory is 800 units. Why is it not possible to reach the exact ending inventory target?

\begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{2}{|l|}{ Week } & 1 & 2 & 3 & 4 & 5 & 6 & Total \\ \hline \multicolumn{2}{|c|}{ Forecast Demand } & 1200 & 1100 & 1200 & 1200 & 1100 & 1000 & \\ \hline \multicolumn{2}{|c|}{ Planned Production } & & & & & & & \\ \hline \begin{tabular}{l} Projected \\ Backlog \end{tabular} & 1100 & & & & & & & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{2}{|l|}{ Month } & 1 & 2 & 3 & 4 & 5 & 6 & Total \\ \hline \multicolumn{2}{|c|}{ Working Days } & 20 & 24 & 12 & 22 & 20 & 19 & \\ \hline \multicolumn{2}{|c|}{ Forecast Demand } & 2800 & 3000 & 2700 & 3300 & 2900 & 3200 & \\ \hline \multicolumn{2}{|c|}{ Planned Production } & & & & & & & \\ \hline \begin{tabular}{l} Planned \\ Inventory \end{tabular} & 1000 & & & & & & & \\ \hline \end{tabular}